Quasicqnformal mappings with restrictions in measure
The principal result of the paper is a criterion of compactness for mappings quasiconformal in the mean. The semicontinuity of a deformation of homeomorphisms from the Sobolev class is also proved.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 1121-1133.
Citation Example: Ryazanov V. I. Quasicqnformal mappings with restrictions in measure // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 1009–1019.